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2 (1 point) Evaiuate the double integral ff was; 92 M, where R is the region that lies between the circles 3:2 + g;3 =

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2 (1 point) Evaiuate the double integral ff was; 92 M, where R is the region that lies between the circles 3:2 + g;3 = 9 and R I2 + y2 = 36, by changing to polar coordinates. Answer: f, D Use a double integral in polar coordinates to find the area of the region bounded on the inside by the circle of radius 4 and on the outside by the cardioid r = 4(1 + cos(0))By changing to polar coordinates, evaluate the integral If (a:2 + ya)\": dmdy .D where D is the disk 1:2 + yr2 5 36. Answer = 9:. Convert the integral dy dx -T to polar coordinates and evaluate it (use t for 0): With a = , b = . CE and d = so? S, dyda = S& sd dr dt = Co dt b = =For the region R below, write ff f dA as an iterated integral in polar coordinates. -3 -3 With a = , b = , and d = SIRfdA = Safe fdA, where dA = d d Note: Use t for 0 in your expressions

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